Subject: General Aptitude · Chapter: Problems on Numbers · Exam: · Marks: · Difficulty:
243 has been divided into three parts such that half of the first part, one-third of the second part and one-fourth of the third part are equal. The largest part is
(a)74
(b)86
(c)92
(d)108
Answer
Answer (as printed): D
Explanation
Let the three parts be A, B and C. Let $\frac{A}{2}=\frac{B}{3}=\frac{C}{4}=x$. Then, A = 2x, B = 3x and C = 4x. So, A : B : C = 2 : 3 : 4. ∴ Largest part $=\left(243\times\frac{4}{9}\right)=108$.
Explanation as extracted from the printed page; notation may be imperfect.